# empty set

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Related to Non-empty subset: Proper subset

## empty set

Mathematics
The set that has no members or elements.
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 A non-empty subset A of an ordered LA-semihypergroup (H,[??],[less than or equal to]) is called an LA-subsemihypergroup of H if (A [??] A] [??] (A].
A non-empty subset C of E is called a chain or totally ordered if all the elements of C are comparable.
Let K be a non-empty subset of Banach space E.We say that amapping T : K [right arrow] K is non-expansive if
If this were not the case, F(A) would be have the same value for any non-empty subset A with [absolute value of A] [less than or equal to] C.
A non-empty subset A(T) is called a neutrosophic subalgebra of X(I) if the following conditions hold:
ABSTRACT: A non-empty subset S of a valued field K is said to have the optimal approximation property if every element in the field K has a closest approximation in S.
 A non-empty subset S of a BT-algebra X is said to be a subalgebra if x * y [member of] S, [V.sub.x], y [member of] S.
A non-empty subset S of a BF-algebra X is said to be a subalgebra if
A plan at the choice node [n.sub.0](T1) is simply a non-empty subset of {[z.sub.g13(p)],[z.sub.g23(p)}.
Y is a nonsimple component of R iff Y is a nonempty subset of the attributes of R, and there is a multivalued dependency X [right arrows] Y, where XY does not include all the attributes of R, and there is no non-empty subset Z of Y such that X [right arrow] Z.
For any non-empty subset I of X, let A = ([M.sub.A], [[??].sub.A], [J.sub.A]) be an MBJ-neutrosophic set in X which is given in Theorem 3.14.

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